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Finding the Fourth Proportional to 6,655.40, 9,984.02 and 2,271.68

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Solution

The fourth proportional to 6,655.40, 9,984.02 and 2,271.68 is: 3,407.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.40 : 9,984.02 = 2,271.68 : x
  2. Step 2: Convert to fraction form
    6,655.40/9,984.02 = 2,271.68/x
  3. Step 3: Cross multiply
    6,655.40x = 9,984.02 × 2,271.68
  4. Step 4: Simplify right side
    6,655.40x = 22,680,498.55
  5. Step 5: Solve for x
    x = 22,680,498.55/6,655.40
  6. Step 6: Final answer
    x = 3,407.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.